Is (4, 2) a solution to the equation y = 6x - 22?

Answers

Answer 1

Answer:

Yes.

(4,2) is a solution to the equation

Step-by-step explanation:

Substitute (4,2) for x and y in the equation

Y = 6x - 22

2 = 6(4) -22

2 = 24 - 22

2 = 2


Related Questions

If a sample of 100 polar bears is taken from a population of polar bears whose average
weight is 2000 pounds and standard deviation is 300 pounds, then a 95% confidence
Interval for the sample mean would be from
to
pounds.

Answers

Answer:

not really sure

but I'll try for you

Help fast it is math and really fast need help

Answers

Given:

The table of value and y is inversely proportional to square of x.

To find:

The value of c and d.

Solution:

It is given that y is inversely proportional to square of x. So,

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=k\dfrac{1}{x^2}[/tex]               ...(i)

Where, k is the contant of proportionality.

From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get

[tex]4=k\dfrac{1}{3^2}[/tex]

[tex]4=\dfrac{k}{9}[/tex]

[tex]4\times 9=k[/tex]

[tex]36=k[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]y=36\dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{36}{x^2}[/tex]             ...(ii)

Putting [tex]x=5,y=c[/tex] in (ii), we get

[tex]c=\dfrac{36}{(5)^2}[/tex]

[tex]c=\dfrac{36}{25}[/tex]

Putting [tex]x=d,y=2[/tex] in (ii), we get

[tex]2=\dfrac{36}{d^2}[/tex]

[tex]d^2=\dfrac{36}{2}[/tex]

[tex]d^2=18[/tex]

Taking square root on both sides, we get

[tex]d=\pm \sqrt{18}[/tex]

[tex]d=\pm 3\sqrt{2}[/tex]

Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].

Answer:

8.238

Step-by-step explanation:

it might not be right, but it was not fast either XDDD

dang, i took to long to tell u

:)

Which statement is an example of the reflexive property of congruence? Help!

Answers

Answer:

In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. If ∠ A \angle A ∠A is an angle, then. \angle A \cong \angle A. ∠A≅∠A.

...

Reflexive property in proofs.

StatementsReasons3. a c = b c ac=bc ac=bc3. Substitution property of equality

If the pentagon below is to be reflected over the line y=x, what are the new coordinates of the vertices?

Answers

Answer:

K' (-2, -2)

L' (3, -2)

G' (4,0)

H' (3,2)

J' (-2, 2)

Step-by-step explanation:

list all the coordinates of the image, and apply the y=x rule of reflection. The line y=x states that the previous y is now in the x and vice versa.

K(-2, -2)

L(-2, 3)

G(0,4)

H(2,3)

J(2, -2)

A second-hand car costs $2400. The price falls by 25% when it is sold again. How much is it sold for?

Answers

Answer:

1,800$

Step-by-step explanation:

25% is 1/4th of the total amount. So...

Divide 2,400$ by 4 and get 600

Now, subtract 600 from 2,400.

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

-kiniwih426

Amit and Aman have a water tank of 44 litres. Amit uses 3/4 part of the water in water
tank and Aman yses 1/4 part of the water and out the quantity of water used by
both also find who is using much water than other and by how much. (3)​

Answers

Answer:

i dont know

Step-by-step explanation:

Will give brainliest if correct!!

Answers

Answer:

The smallest increment is 10 V and the uncertainty is 5 V.

An object is launched from a platform. its height in meters X seconds after the launch is modeled by h(x)=-5x^2+20x+60 how many seconds after launch Will the object land on the ground

Answers

Answer:

6 seconds after launch.

Step-by-step explanation:

You should make sure  there aren't odd symbols in your question when you post it.

Assuming it is just the equation -5x^2 + 20x + 60, if you graph it you can see the path of the ball.  at x=0 this is the starting point It then hits the ground when it touches the x axis.  So this is finding zeroes of a quadratic.

You could do this several ways; find a way to factor it, guess and check, the quadratic formula or completing the square.  I will complete the square as that is what I am most used to.  If you would like to see another let me know.

The first step in completing the square is making sure the x^2 has a coefficient of 1, so now it has -5 so we have to factor out -5 from the equation.

-5x^2+20x+60 = -5(x^2 - 4x - 12)

Now you only really need to focus on the factored expression, but I will continue writing everything.  The next step is to find (b/2)^2 where b is the coefficient of the x term.  In this case -4.  so (b/2)^2 = (-4/2)^2 = 4.

Again, focusing on x^2 - 4x - 12 you want to add and subtract (b/2)^2 from that expression.  since you are adding and subtracting you are not changing the value, but we can use this.

-5(x^2 - 4x - 12) = -5(x^2 - 4x - 12 + 4 - 4)

Here you want to rearrange it a bit.  Originally c was the constant term, -12, now you want it to be the positive (b/2)^2, which is positive 4. also you can combine the two other constant terms.  the original c and -(b/2)^2, but I will hold off for now so I don't do too much at once.

-5(x^2 - 4x - 12 + 4 - 4) = -5(x^2 - 4x + 4 - 12 - 4)

Now you focus on x^2 - 4x + 4.  Hope fully you recognize this is the same as (x-2)^2.  This always happens at this step of the process.  also notice -2 = b/2.  Using only variables here are the first steps.

ax^2 + bx + c

a(x^2 + (b/a)x + (c/a))

a(x^2 + (b/a)x + (c/a) + (b/(2a))^2 - (b/(2a)^2)

a(x^2 + (b/a)x + (b/(2a))^2 + (c/a) - (b/(2a))^2)

a((x + b/(2a))^2 + (c/a) - (b/(2a))^2)

Again, being able to make x^2 - 4x + 4 into (x-2)^2 or x^2 + (b/a)x + (b/(2a))^2 into (x + b/(2a))^2 willa lways happen.  this is because if you expand (x + b/(2a))^2 you always get x^2 + (b/a)x + (b/(2a))^2.

Now I would combine the -12-4

-5(x^2 - 4x + 4 - 12 - 4) = -5((x - 2)^2 - 12 - 4) = -5((x - 2)^2 - 16)

If you redistribute the -5 you get vertex form, but I am going to stop here  because I will just undo that in the next step.  So this is the form you want.  Finally we can find when it equals 0.  So, you set this equal to 0 and use algebra to solve.

-5((x - 2)^2 - 16) = 0

Divide both sides by -5

(x-2)^2 - 16 = 0

add 16 to both sides

(x-2)^2 = 16

Take the square root of both sides, but also count botht he positive and negative version of the answer.  the reason is both 2 and -2 squared get you 4.

x - 2 = +/-4

I am using +/- to indicate I am using both positive and negative 4.  Now though add 2 to both sides.  since you have +/- 4 you are going to get two different results.  -4+2 and 4+2

x = -2 and 6.

now, the question wants times after x=0 (the start) so you only get 6.  so x=6, or in other words 6 seconds after launch.

Let me know if you have any questions.

Answer:

6

Step-by-step explanation:

sorry no step by step explanation because I’m in a rush please mark me as brainliest bye have a great day !!! :D

Please help me if yk tha answer :))

Answers

Answer:

cosθ = sinθ/tanθ

Step-by-step explanation:

tanθ = sinθ/cosθ (Given)

cosθ(tanθ) = sinθ (Mulitplied cosθ on both sides)

cosθ = sinθ/tanθ (Divided tanθ on both sides)

7th grade Girl!

*urgent, pls pls pls help!* :(

(in the screenshot above. pleaseeeee! i’m desperate ahhhh :( )

Answers

answer:

A, P, M, S, W, Q


At age 25, you invest $1,500 that earns 8 percent each year. How much money will you have at age 65? $_____ (no comma) 32586.78 b. At age 40 you invest $1,500 that earns 11 percent per year. How much money will you have at age 65? $______ (no comma) 20378.20 In which case (a or b) would you have more money at age 65? Why?

Answers

Answer:

The Money Invested At age 25 earns more because it earns more Interest As compare to The Money Invested At age 40.

Step-by-step explanation:

According To the Question,

Given, A Person Invested $1,500 at Age of 25, With an 8% Per Annum Interest Rate.

Thus, The Money He will have at age of 65 would be, [tex]$1,500 * (1.08)^{40}[/tex] = 32586.78$ . Here The Interest Earn in 40 Year Is 31086.78$.

And, the Same Person Invested $1,500 at Age of 40, With an 11% Per Annum Interest rate.

Thus, The Money He will have at age of 65 would be, [tex]$1,500 * (1.11)^{25}[/tex] = $20378.20 . Here The Interest Earn in 25 Years Is 18878.20$.

⇒ Now, it is understood that the same amount invested for different periods of time & with a different interest rate, Since The Amount who get more Interest Would earn More. hence, The Money Invested At age 25 earns more because it earns more Interest As compare to The Money Invested At age 40.

Use the drop-down menus to complete the statements to match the information shown by the graph.

Answers

The right answer is 1/2

–6(2 + a) = –48 please answer

Answers

Answer:

a = 6

Step-by-step explanation:

–6(2 + a) = –48

Divide each side by -6

–6(2 + a) / -6 = –48/-6

2+a = 8

Subtract 2 from each side

2+a-2 = 8-2

a = 6

-6(2 + a) = -48

The -6 can be distributed.

-12 - 6a = -48
-6a = -48 + 12
-6a/-6 = -36/-6

Double negatives make a positive.

a = 6

Find the value of each variable​

Answers

Answer:

Z = 65 Y = 115

Step-by-step explanation:

z+115 = 180

z=65

y + 65 +100+80= 360

y+245 = 360

y=115

Answer:

y = 115°

z = 65°

Step-by-step explanation:

*IMPORTANT* Straight line = 180° & Squares = 360°

1) 180° - 115° = 65°

z = 65°

2) 360° - 100° - 80° - 65° = 115°

Also, interior angles = exterior angles

Why does that formula make sense?

Answers

According to the trapezoid area formula, the area of a trapezoid is equal to half the product of the height and the sum of the two bases. Area = ½ x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

If helped mark me the brainiest!!

Answer:

Step-by-step explanation:

Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH +   ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......

you end up with : AH - AH/2 + AB/2 ...

AH - AH/2 =  AH/2

BH/2 = BH/2

final answer : AH/2 + BH/2

factor out the 1/2 and H ..... 1/2 H (A+B)

Please help first real answer will get brainliest

Answers

Answer:

6

Step-by-step explanation:

a1(n-1) + D

d = 6

A line passes through the points (-2, 4) and (6, 16). Which of the following would not be
a correct equation of the line?

Answers

(4,12) is the correct answer

Why is 31
less than 3 x 10?

Answers

Answer:

Step-by-step explanation:

Because 3x10=30 and 31 is greater than 30 by 1 more.

It's not. 3 times 10 is 30.

30<31

In circle D, EDH LEDG.
1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
E
57°
F
D
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.
C
H
66°
G
2.
G H
In OK, m_HKG=x+10 and
m IKT=3 2 D

Answers

Answer:

hey mate

the question is not understandable

Can you please write a paragraph using this Key Terms: amphibians larvae salamanders emerge habitat dormant migrate escort

Answers

Answer:

DESCRIPTION: Large for a modern amphibian, the male California tiger salamander can reach up to 8.5 inches in length, the female up to seven. Adults have protruding eyes and long tails, and their slick bodies are mostly black with brilliant yellow spots and stripes on their back, sides, and tail. Larvae are greenish gray in color.

HABITAT: California tiger salamanders can be found in annual grasslands and oak woodlands with hot, dry summers and cool, rainy winters. For most of the year, they reside in underground burrows created and abandoned by small mammals. They need ephemeral pools for breeding.

RANGE: Historically these salamanders ranged throughout California's Sacramento and San Joaquin River valleys, the surrounding foothills, and the lower elevations of the state's central coast. Now their distribution is limited to disjunct vernal pool complexes in the northern part of their historical range. The northernmost and southernmost populations, residing in Sonoma and Santa Barbara counties respectively, are genetically distinct and geographically isolated from others.

MIGRATION: Once fall and winter rains begin, adult tiger salamanders emerge from underground hibernation habitat in mammal burrows and migrate to breeding ponds. After breeding, adults disperse back to uplands habitat to retreat underground. Adults may migrate long distances between summering and breeding sites: salamanders have been found along roads more than 1.2 miles from any known breeding ponds. Juvenile salamanders dispersing from ponds have been trapped more than 1,200 feet from their natal ponds.

BREEDING: Following early-winter rains, California tiger salamanders nocturnally emerge from their burrows and lay their eggs in newly formed vernal pools. After the eggs are fertilized internally, a female can lay up to 1,300, which she deposits individually or in small batches. Adults move back to their terrestrial burrows after breeding.

LIFE CYCLE: Within two weeks of egg fertilization, salamander larvae hatch, remaining in their natal pools for two to three months. By late spring or summer, once they reach metamorphosis, juveniles roam up to two miles away to hibernate in terrestrial habitat. Salamanders are thought to have lifespans of 10 years or more.

FEEDING: For the first six weeks of life, juveniles eat small crustaceans, algae, and mosquito larvae. Adult salamanders prey on aquatic insects, invertebrates, and tadpoles of Pacific tree frogs, California red-legged frogs, western toads, and spadefoot toads.

THREATS: The California tiger salamander is threatened by habitat destruction due to urban and agricultural development, habitat fragmentation, pesticides, hybridization with nonnative tiger salamanders, introduced diseases, and predation by nonnative species.

POPULATION TREND: Surveys showed that by 1993, the California tiger salamander had been extirpated from at least half of its historic localities. By 2004, only six tiger salamander meta-populations within 48 breeding ponds remained in Santa Barbara County, and by 2005, only seven viable tiger salamander breeding sites remained in Sonoma County.

Step-by-step explanation:

what are the coordinates of point V

Answers

Answer:

c is the and

no worries thank you to each of the Fourth of that mother you have any other questions please contact me

Divide (16m³-10m²+2m)÷2m​

Answers

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅

Step-by-step explanation:

[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Write an equation to describe the relationship between x and y in the table shown:​

Answers

x+5=y
-3(x)+5=2(y)
-2(x)+5=3(y)
0(x)+5=5(y)
1(x)+5=6(y)

3/4 : 1/2 :: 27x : 14​

Answers

Answer:

Step-by-step explanation:

Note: It is not mention what to find so than i am finding the value of x.

Given data:

3/4 : 1/2:: 27x: 14

Now,

[tex]x=\frac{1/2*27}{3/4*14} \\x=4.5[/tex]

ayuda porfavor es urgente​

Answers

B for one and D for 2
Uno - B Dos - D

25/20 + 10/y = ? Solve for y.

Answers

Answer:

your answer is y=-8 for sure

what is the total value of 6 in 24.63​

Answers

Answer:

.60

Step-by-step explanation:

The values is 6 tenths

HELP i will give brainliest
all questions ;(

Answers

Answer:

1. The theoretical probability of rolling an even number and flipping heads is 25%.

2. The experimental probability of rolling a 1 and flipping tails is 15%.

3. The experimental probability of flipping heads is 40%.

4. I think around 7%.

5. I would expect to roll 3 and land on heads 8 times.

Step-by-step explanation:

I am not sure about number 4.

Have a nice day!

Ask me if you need my work. :-)

expand and simplify pla

Answers

y = f(3f - 4g + 3) +7g(3f - 4g + 3)
= 3f^2 - 4fg + 3f + 21fg - 28g^2 + 21g
= 3f^2 + 3f + 17fg + 21g - 28g^2

What is f(5) for the function below?
f (x) = 6x – 10

Answers

Answer:

20

Step-by-step explanation:

f(5) = 6(5) - 10

= 30-10

=20

when x = 5, y = 20

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